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42641655021225 = 32521314578343597
BaseRepresentation
bin10011011001000010010001…
…01100110011111010101001
312120222111120020220020120200
421230201020230303322221
521042120102141134400
6230405150023142413
711660520651200301
oct1154411054637251
9176874506806520
1042641655021225
1112650251659427
1249482a3ba4a09
131aa412469a390
14a75c1d514601
154de3199bab00
hex26c848b33ea9

42641655021225 has 36 divisors (see below), whose sum is σ = 82251014579916. Its totient is φ = 20992814778240.

The previous prime is 42641655021209. The next prime is 42641655021289. The reversal of 42641655021225 is 52212055614624.

42641655021225 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 16 + 5 + 502 + 122 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 783692349696 + 41857962671529 = 885264^2 + 6469773^2 .

It is not a de Polignac number, because 42641655021225 - 24 = 42641655021209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7289168874 + ... + 7289174723.

Almost surely, 242641655021225 is an apocalyptic number.

42641655021225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42641655021225 is a deficient number, since it is larger than the sum of its proper divisors (39609359558691).

42641655021225 is a wasteful number, since it uses less digits than its factorization.

42641655021225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14578343626 (or 14578343618 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 42641655021225 in words is "forty-two trillion, six hundred forty-one billion, six hundred fifty-five million, twenty-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 195 225 325 585 975 2925 14578343597 43735030791 72891717985 131205092373 189518466761 218675153955 364458589925 568555400283 656025461865 947592333805 1093375769775 1705666200849 2842777001415 3280127309325 4737961669025 8528331004245 14213885007075 42641655021225